The Southampton boss was keen to play down the incident and stressed it was a simple mistake
Ralph Hasenhuttl apologised to opposite number Chris Hughton for not shaking his hand in the immediate aftermath of Southampton's 1-0 win at Brighton and Hove Albion.
Saturday's victory at the Amex Stadium lifted Saints five points clear of the Premier League drop zone on a day in which Huddersfield Town became the first team to be relegated to the Championship.
Pierre-Emile Hojbjerg's goal early in the second period proved the difference as the visitors moved level on points with their opponents in the table thanks to a third win from four Premier League matches.